Question

What is Acceleration due to Gravity? Explain formula of relation between g & G and find the value of g

Answer 1

The acceleration due to gravity is the acceleration experienced by an object during free fall when in vacuum due to the gravitational force of the Earth.

• The standard value of g is 9.8 m/s² on the surface of the earth.
• We know that gravitational force F = GMm/ (r+h)²

Where F is the gravitational force,

G is the universal gravitational constant,

M is the mass of the earth,

m is the mass of the body,

h is the height of the object from the surface of the earth,

r is the radius of the earth.

AS h is very small in comparison to the radius (r) of the earth, therefore it can be ignored.

Now F becomes: F = GMm/ r²......(1)

We know that force acting on the body due to gravity is : F = mg.......(2)

Equating both the equations we get:

mg = GMm/r²

g = GM/r²

Answer 2

HELLO DEAR,

ANSWER:- The acceleration of a body is free fall under the influence of earth gravity experience as the rate of increase of velocity for unit of time and assign the standard value of 9.8 m/s is called acceleration due to gravity.

The relation between g and G is,

F = GMm/r².

I HOPE IT'S HELP YOU DEAR,

THANKS.